Main content

### Course: 4th grade > Unit 8

Lesson 7: Fractions with denominators of 10 and 100- Visually converting tenths and hundredths
- Equivalent fractions with fraction models (denominators 10 & 100)
- Equivalent fractions (denominators 10 & 100)
- Decomposing hundredths
- Decomposing hundredths on number line
- Decompose fractions with denominators of 100
- Adding fractions (denominators 10 & 100)
- Adding fractions: 7/10+13/100
- Equivalent expressions with common denominators (denominators 10 & 100)
- Add fractions (denominators 10 & 100)

© 2024 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Decomposing hundredths

Sal decomposes 47/100 into tenths and hundredths.

## Want to join the conversation?

- whats eleven hundreths + 100 hundreths(6 votes)
- Sorry for the late reply but it might help others

eleven hundreths is 11 hundreths + 100 hundreths. You need to change them into a decimal. 11/100 is 0.11 and 100 hundreths is 100/100 is 1.00. finally, Add them up 1.00 + 0.11 is 1.11(9 votes)

- Could we have tenths and hundreths word problems?(6 votes)
- Why is it that when the graph is represented in hundredths blocks, it is better to represent it as (tenths+hundredths) instead of (round number of hundredths+extra hundredths)?(5 votes)
**bold**can you decompose any number with a fraction?(3 votes)- It doesn't matter if the denominator of one of the fractions is 10 and the other one is 100 can I still make the sum and the answer is going to be 47/100??(2 votes)
- Is 25/50 equal to 25000/50000?(0 votes)
- Yes. we can express 25000 as 25x1000 and 50000 as 50x1000 respectively. This way 25000/50000 would essentially be equivalent to (25x1000)/(50x1000), in which the factor of 1000 in both the numerator and the denominator can then be cancelled out(3 votes)

- so, what you're saying is, that if you just put 79/100, do you have to put a 70 and a 9, or just put 7 and 9?(0 votes)
- how come the 100ths are not accurate(0 votes)
- Whats the point with fractions if you don't really need them in life or do you have to do lots of fractions.(0 votes)
- You do need them in life ,so yes, there is a point of fractions.. unlike... OTHER things...(1 vote)

## Video transcript

- So this, this picture right over here, we've taken this square, we've divided it into 100
equal, smaller squares, and then we've colored in, let's see how many we've colored in. Each of these rows has
10 squares, so this is, 10, 20, 30, 40, 41, 42, 43, 44, 45, 46, 47. So over here, we have colored in 47 out of 100 equal, smaller squares. Or you could say that this, what's shaded in in blue
and green right over here, this represents 47 hundredths. This is represents 47
hundredths of the entire, of the entire whole. Now what I'm curious about is, I wanna break up this fraction. I wanna write it as 40 over, actually lemme write it this way. I wanna write it as four over 10, plus, plus something over 100. And I'll just write star. Plus star over 100. And my question to you is, what is the star going to be equal to? The star is equal to what? And pause the video to
try to figure it out. Alright, so let's, let's
work this together. So one thing that we
could say immediately, is we could say that 47 over 100 is equal to 40 hundredths, 40 hundredths. You see that over here,
10, 20, 30, 40 hundredths. This is 10, 20, 30, 40 hundredths, plus, one, two, three, four,
five, six, seven hundredths. Plus seven hundredths. Now, 40 hundredths is the same thing as four tenths. 40 hundredths is the same
thing as four tenths. There's a bunch of ways
we could think about it. One is, you could think about dividing this larger, larger square into tenths, so this would be a tenth right over here, that would be a tenth, this would be another tenth, that's two tenths. This would be three tenths. And all I'm doing here, is I'm dividing the larger thing into tents, into tenths, I should say. If I'm taking the larger, if I'm taking the larger square, instead of dividing it into hundredths, I divide it into tenths. So this would be four tenths, (mumbles) doing five tenths, six tenths, six tenths, seven tenths, eight tenths, and nine tenths, and then 10 tenths. Notice, if you look at the orange lines, I've divided my square not
into a hundred equal sections, but into ten equal sections. And so you see, these 40 hundredths that are in blue right over there, that's the same thing as one tenth, two tenths, three tenths, and four tenths. So that is the four
tenths, right over there. Another way you could think about it, when you go from hundredths to tenths, each 10 hundredths, each 10 hundredths, is are equal to one tenth. So you're dividing both
the denominator by 10, when you go from hundredths to tenths. And you'd also divide the numerator by 10, going from hundredths to tenths. So 40 divided by 10 is four, 100 divided by 10 is 10. So hopefully you're convinced that 40 hundredths is the same
thing as four tenths. But what's left over? Well, we still have the
seven hundredths over here. So 40 hundredths plus seven hundredths is the same thing as four
tenths, plus seven hundredths. So the star right over here, this is going to, let me actually, let me erase this. The star right over here, I could write that as seven hundredths. So you see, 47 hundredths, which is all the stuff shaded, that's the same thing as the four tenths. Which is the same thing as 40 hundredths, shaded in blue. Plus these one, two, three, four, five, six, seven
hundredths, right over here. 47 on 100, or 47 hundredths, 4 tenths, plus seven hundredths.